MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 10.7, Problem 70P
To determine
To derive: An expression for an equivalent bending moment
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Use the graphical method to construct the bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and shear-force diagram are provided.MA = 22 kN-mMB = 10 kN-mAy = 17.00 kNBy = 13.00 kN
A steel bar withstands simultaneously a 30 kN compressive force, a 5 kNm bending moment and
a lkNm torque. Assume the cross-section is circular with diameter R. Determine, for a point at the
position of greatest compressive bending stress:
(a) The normal stress on a plane inclined at 30° to the shaft axis
(b) The shear stress on a plane inclined at 60° to the shaft axis
A wire of circular cross-section ofdiameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure
bending moments at its ends. The Young's modulus of the material of the wire is 100 GPa. The maximum tensile
stress developed in the wire is
MPa.
Chapter 10 Solutions
MECHANICS OF MATERIALS
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.5 - The strain at point A on the bracket has...
Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
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- A beam 15 m long is simply supported at the left end and at 3 m from the right end. It carries concentrated loads of 40 and 20 kN at 6 and 9 m respectively from the left support, and another concentrated load of 50 kN at the extreme right end. Sketch and dimension the shearing force and bending moment diagrams.arrow_forwardAsap pleasearrow_forwardDetermine the ratio of maximum and minimum value of stresses for a curved bar of rectangular section in pure bending. The ra- dius of curvature is 8 cm and depth of the beam is 6 cm. Locate the neutral axis. Draw the neutral axis.arrow_forward
- So 873.7 it’s wrong . Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your workarrow_forwardFIGURE PS-66 500 N/m 0.60 m 1 Compute tbe reactions at the supports using the toch niques shown in Section 5-2, 2 Draw the complete shearing force and bending noment dagrams using the techniques shown in Sections 5-3 through 5-8, 3. Determine the magnitude and location of the maximum absolute value of the shearing force and bending momentarrow_forwardThe cantilever beam in Fig. (a) carries a triangular load, the intensity of which varies from zero at the left end to 360 lb/ft at the right end. In addition, a 1000-lb upward vertical load acts at the free end of the beam. (1) Derive the shear force and bending moment equations, and (2) draw the shear force and bending moment diagrams. Neglect the weight of the beamarrow_forward
- Applying the flexure formula, how can we determine the position of the absolute maximum bending stress that occur?arrow_forwardQ5- If the baem shown in the Fig. (5) has a square cross section, what is their minimum required width (bmin) if the allowable bending stress in the material is 16 MPa ? Q6- For thomas POMO Seret hown in the stre the applied CPa and coarrow_forwardExample 5: The horizontal beam AD is loaded by a uniform distributed load of 5 KN per meter of length and is also subjected to the concentrated force of 10 KN applied as shown below. Determine the shearing force and bending moment diagrams. 10 AN SKN/ m 2 m 1 m 1 m 10arrow_forward
- A shaft of 40 mm is subjected to a twisting moment of 120 N-m, simultaneously, it is subjected to an axial thrust of 10 kN and a bending moment of 80 N-m. Calculate: 1. The maximum compressive and shear stresses. 2. By assuming the hollow shaft what could be the maximum stresses; if the di/do is 0.6.arrow_forwardYour answer is partially correct. For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.50 m, b=4.25 m, Pg= 45kN, and Pc = 90kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay= a 74.189 B Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Dy= i 59.21 B a PB a Pc KN Pc b KN D b D P xarrow_forwardA shaft is used to transmit 55 kW power at 500 rpm is subjected to a bending moment of 450 Nm. Calculate the diameter of the shaft if the shear strength of the shaft is 180 MPa.arrow_forward
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